5x - 3y = 11 ⇒ 5x - 3y = 11 ⇒ 5x - 3y = 11
x - 2y = 2 ⇒ -5(x - 3y) = 2 ⇒ -5x + 15y = 2
 12y = 13
 12 12
 y = 1 1/12
 5x - 3(1 1/12) = 11
 5x - 3 1/4 = 11
 +3 1/4 +3 1/4
 5x = 14 1/4
 5 5
 x = 2 17/20
 (x, y) = (2 17/20, 1 1/12)

8 0

2 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago

Need help with circle measurements in Geometry.

Ymorist [56]

I got 0.999 which is 999/1000

5 0

3 years ago

You and three friends own a paint shop. The shop's profit was $536 in the first month. You always divide the profits equally. In

ludmilkaskok [199]

Hello! I can help you with this! So, you and 3 friends are 4 people. You split $536. To find the amount each of you got, Do division. 536/4 is 134. Each friend got $134 in the first month. You made 224 in 2 months. Let’s subtract to see how much more each of them got. 224 - 134 is 90. Now, multiply by 4 to find out how much profit was made. 90 * 4 is 360. The shop made $360 in the second month.

7 0

3 years ago